Answer:
x = -1
Step-by-step explanation:
-2(3x-4)=4(x+3)+6
Distribute
-6x +8 = 4x +12 +6
Combine like terms
-6x +8 = 4x+18
Add 6x to each side
-6x+6x +8 = 4x+6x +18
8 = 10x+18
Subtract 18 from each side
8-18 =10x+18-18
-10 = 10x
Divide each side by 10
-10/10 = 10x/10
-1 =x
Addition: negative four plus negative four plus negative four equals negative twelve
Multiplication: negative four times three equals negative twelve
Division: twelve divided by 3 equals negative four
You would use PEMDAS
But since any number divided by 1 is the number by which it is divided by then you can eliminate that. Now your problem looks like this:
8✖️4➕9✖️56➕57
Since there are no parentheses or exponents then you would multiply.
8✖️4= 32
32➕9✖️56➕57
Then multiply the other multiplication problem.
9✖️56= 504
32➕504➕57
Now you can add all of the numbers together
32➕504=536
536➕57=593
Your answer is 593
Hope this helps! :3
Answer:
$408
Step-by-step explanation:
subtract 30 from 540 to get 510
then divide 510 by 5 or divide 510 by 100 then multiply by 20
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510 divided by 5 is 102
or
510 divided by 100 is 5.1 which then you multiply by 20 to get 102
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102 is equal to 20% of 510 so you subtract 510 by 102 to get 408
Answer:
There is approximately 17% chance of a person not having a disease if he or she has tested positive.
Step-by-step explanation:
Denote the events as follows:
<em>D</em> = a person has contracted the disease.
+ = a person tests positive
- = a person tests negative
The information provided is:
Compute the missing probabilities as follows:
The Bayes' theorem states that the conditional probability of an event, say <em>A</em> provided that another event <em>B</em> has already occurred is:
Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:
So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.
As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.
